What will come in place of the question mark (?) in the following numbers ?
1 6 36 240 1960 ?

Options

A. 19660
B. 3680
C. 36800
D. 19600

Answer

To find the missing number in the sequence 1, 6, 36, 240, 1960, ?, we can analyze the pattern of multiplication and addition in the series.

### Step-by-Step Solution:

1. **Identify the pattern**:
- The first number is 1.
- The second number is obtained by multiplying the first number by 2 and then adding 2:
\[ 1 \times 2 + 2 = 2 + 2 = 6 \]

2. **Calculate the third number**:
- The second number (6) is multiplied by 6 and then added to 6:
\[ 6 \times 6 = 36 \]

3. **Calculate the fourth number**:
- The third number (36) is multiplied by 6 and then added to 24:
\[ 36 \times 6 + 24 = 216 + 24 = 240 \]

4. **Calculate the fifth number**:
- The fourth number (240) is multiplied by 8 and then added to 40:
\[ 240 \times 8 + 40 = 1920 + 40 = 1960 \]

5. **Calculate the sixth number**:
- The fifth number (1960) is multiplied by 10 and then added to 60:
\[ 1960 \times 10 + 60 = 19600 + 60 = 19660 \]

Thus, the missing number in the sequence is **19660**.